What is the LCM of 66 and 99 - Find out answer step by step

What is LCM of two numbers?

In mathematics, least common multiple which is commonly known as LCM is defined as the smallest non-zero number which is divisible by both given numbers 66 and 99.

Properties of LCM

LCM follows associative property, that means LCM(66, 99) = LCM(99, 66).
LCM follows commutative property, which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM follows distributive property, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 66 and 99 is 198, where 66 and 99 are less than 198.
The LCM of two or more prime numbers is their product.

Steps to find lcm of 66 and 99 by Listing Method

Find some first multiples of 66 and 99.
Find the least common multiple, and read off the answer!

Example: Find lcm of 66 and 99 by Listing Method

Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792, 858, 924, 990, 1056, 1122, 1188, 1254, 1320, 1386, 1452, 1518, 1584, 1650, 1716, 1782, 1848, 1914, 1980, 2046, 2112, 2178, 2244, 2310, 2376, 2442, 2508, 2574, 2640, 2706, 2772, 2838, 2904, 2970, 3036, 3102, 3168, 3234, 3300, 3366, 3432, 3498, 3564, 3630, 3696, 3762, 3828, 3894, 3960, 4026, 4092, 4158, 4224, 4290, 4356, 4422, 4488, 4554, 4620, 4686, 4752, 4818, 4884, 4950, 5016, 5082, 5148, 5214, 5280, 5346, 5412, 5478, 5544, 5610, 5676, 5742, 5808, 5874, 5940, 6006, 6072, 6138, 6204, 6270, 6336, 6402, 6468, 6534
Multiples of 99: 99, 198, 297, 396, 495, 594, 693, 792, 891, 990, 1089, 1188, 1287, 1386, 1485, 1584, 1683, 1782, 1881, 1980, 2079, 2178, 2277, 2376, 2475, 2574, 2673, 2772, 2871, 2970, 3069, 3168, 3267, 3366, 3465, 3564, 3663, 3762, 3861, 3960, 4059, 4158, 4257, 4356, 4455, 4554, 4653, 4752, 4851, 4950, 5049, 5148, 5247, 5346, 5445, 5544, 5643, 5742, 5841, 5940, 6039, 6138, 6237, 6336, 6435, 6534

Hence, LCM of 66 and 99 is 198.

Steps to find LCM of 66 and 99 by Common Division Method

Find all the prime numbers that would divide 66 and 99 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 66 and 99 by Common Division Method

2	66 99
3	33 99
3	11 33
11	11 11
	1 1

Hence, LCM of 66 and 99 is 2 x 3 x 3 x 11 = 198.

Steps to find lcm of 66 and 99 by Formula

The formula for LCM is LCM (66, 99) = (66 x 99) / GCF (66, 99)
Apply the formula, and read off the answer!

Example: Find lcm of 66 and 99 by Formula

GCF of 66 and 99 = 33
LCM of 66 and 99 = (66 x 99) / 33
=> 6534 / 33

Hence, LCM of 66 and 99 is 198.

Examples

A shopkeeper sells candies in packet of 66 and chocolates in packet of 99. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 66 and 99.
So, LCM of 66 and 99 is 198.

Both the cricket team and the rugby team had games, today. The cricket team plays every 66 days and the basketball team plays every 99 days. When will both teams have games on the same day again?

Given that the cricket team plays every 66 days and the basketball team plays every 99 days, so for finding the next time when both teams will play again we need to find the LCM of 66 and 99.
So, LCM of 66 and 99 is 198.

Steve spends 66 dollars every day while George spends 99 dollars every day. What is the least number of days it will take each person to spend the same amount of money?

To find the least number of days that would be taken to be able to spend the same amount of dollars we need to find the LCM of 66 and 99.
So, LCM of 66 and 99 is 198.

Sammy's company prints 66 textbooks at a time. Daniel's company prints textbooks in sets of 99 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 66 and 99.
So, LCM of 66 and 99 is 198.

Ariel exercises every 66 days and Rubel every 99 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 66 and 99 is 198.

Find the least common multiple of 66 and 99.

Least common multiple of 66 and 99 is 198.

Find the least number which is exactly divisible by 66 and 99.

Least number which is exactly divisible by 66 and 99 is 198.

What is LCM of 66 and 99?

How to find lcm of two numbers

What is LCM of two numbers?

Properties of LCM

Steps to find lcm of 66 and 99 by Listing Method

Example: Find lcm of 66 and 99 by Listing Method

Steps to find LCM of 66 and 99 by Common Division Method

Example: Find lcm of 66 and 99 by Common Division Method

Steps to find lcm of 66 and 99 by Formula

Example: Find lcm of 66 and 99 by Formula

Examples

What is LCM of 66 and 99?

How to find lcm of two numbers

What is LCM of two numbers?

Properties of LCM

Steps to find lcm of 66 and 99 by Listing Method

Example: Find lcm of 66 and 99 by Listing Method

Steps to find LCM of 66 and 99 by Common Division Method

Example: Find lcm of 66 and 99 by Common Division Method

Steps to find lcm of 66 and 99 by Formula

Example: Find lcm of 66 and 99 by Formula

Examples

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